GCF of 793/498, 580/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/498, 580/178 i.e 1/44322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/498, 580/178.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 793/498,580/178?
Given fractions are 793/498,580/178
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 793/498,580/178, numerators are 793,580
Denominators are 498,178
The GCF of 793,580 is 1 .
LCM of 498,178 is 44322.
The greatest common factor of 793/498,580/178 = [GCF of 793,580]/[LCM of 498,178]= 1/44322
Therefore, the GCF of 793/498,580/178 is 1/44322.
To find the highest common factor of 793,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 793,580 is 1.
Lets's calculate GCF of 793,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 793,580 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 793,580 . The biggest common factor number is the GCF number.
So the greatest common factor 793,580 is 1.
Lets's calculate LCM of 498,178
| 2 | 498, 178 |
| 249, 89 |
∴ So the LCM of the given numbers is 2 x 249 x 89 = 44322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44322
Therefore, the GCF of Fractions 793/498,580/178 is 1/44322
Least Common Multiple of 498,178 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 498,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,178) x common factors =2 x 1 = 2
LCM(498,178) = ( 498 × 178 ) / 2
LCM(498,178) = 88644 / 2
LCM(498,178) = 44322
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FAQs on GCF of Fractions of 793/498, 580/178
1. What is the HCF of 793,580?
The HCF of 793,580 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 793/498, 580/178?
Answer: GCF of Numerators as per given numbers 793/498, 580/178 is
GCF of Numerators i.e. for 793,580 is 1
LCM of denominators i.e. for 498,178 is 44322.
Thus, GCF of Fractions is 1/44322.Finally, GCF of Fractions for 793/498, 580/178 is 1/44322.